An athletic track is designed in such a way that an athlete runs the 1

1.	An athletic track is designed in such a way that an athlete runs the 1st and 3rd quarters of the race around a circular track and the 2nd and 4th quarters around a square track. (As shown in the figure below) If the area of the entire square field is 256 sq units, what is the area enclosed by the running track? (Assume that the track touches the boundary of the field at the midpoints of the four sides and the width of the track is negligible).
Answer» An athletic track is designed in such a way that an athlete runs the 1 $^{s t}$ and 3 $^{r d}$ quarters of the race around a circular track and the 2 $^{n d}$ and 4 $^{t h}$ quarters around a square track. (As shown in the figure below) If the area of the entire square field is 256 sq units, what is the area enclosed by the running track? (Assume that the track touches the boundary of the field at the midpoints of the four sides and the width of the track is negligible).

An athletic track is designed in such a way that an athlete runs the 1st and 3rd quarters of the race around a circular track and the 2nd and 4th quarters around a square track. (As shown in the figure below) If the area of the entire square field is 256 sq units, what is the area enclosed by the running track? (Assume that the track touches the boundary of the field at the midpoints of the four sides and the width of the track is negligible).

Answer»

An athletic track is designed in such a way that an athlete runs the 1 $^{s t}$ and 3 $^{r d}$ quarters of the race around a circular track and the 2 $^{n d}$ and 4 $^{t h}$ quarters around a square track. (As shown in the figure below) If the area of the entire square field is 256 sq units, what is the area enclosed by the running track? (Assume that the track touches the boundary of the field at the midpoints of the four sides and the width of the track is negligible).

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